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Finding the Fourth Proportional to 10,808.91, 16,214.04 and 3,413.61

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Solution

The fourth proportional to 10,808.91, 16,214.04 and 3,413.61 is: 5,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.91 : 16,214.04 = 3,413.61 : x
  2. Step 2: Convert to fraction form
    10,808.91/16,214.04 = 3,413.61/x
  3. Step 3: Cross multiply
    10,808.91x = 16,214.04 × 3,413.61
  4. Step 4: Simplify right side
    10,808.91x = 55,348,409.08
  5. Step 5: Solve for x
    x = 55,348,409.08/10,808.91
  6. Step 6: Final answer
    x = 5,120.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.